The Autonomy of Mathematical Knowledge

Hilbert's Program Revisited
Erscheinungsjahr 2010
ISBN: 978-0-521-18389-5
Verlag: Cambridge University Press

Buch, Englisch, 228 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 337 g

• Argues forcefully against the 'received view' of Hilbert's program presenting it in a new light
• Will appeal to historians, mathematicians and philosophers
• Presents complicated mathematics in an accessible way
Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between ist conceptual problems and technical development.

Autoren/Hrsg.

Franks, Curtis

Fachgebiete

• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Preface
1. A new science
2. David Hilbert's naturalism
3. Arithmetization
4. Intensionality
5. Interpreting G2 for Q
6. Autonomy in context
Bibliography
Index.

Über Autor(innen)

Curtis Franks is Assistant Professor in the Department of Philosophy, The University of Notre Dame.